Atkin-Lehner |
2- 3- 5- 37- |
Signs for the Atkin-Lehner involutions |
Class |
106560gd |
Isogeny class |
Conductor |
106560 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
92160 |
Modular degree for the optimal curve |
Δ |
276203520000 = 214 · 36 · 54 · 37 |
Discriminant |
Eigenvalues |
2- 3- 5- -1 3 6 0 0 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-1632,2144] |
[a1,a2,a3,a4,a6] |
Generators |
[-7:115:1] |
Generators of the group modulo torsion |
j |
40247296/23125 |
j-invariant |
L |
8.6189021603471 |
L(r)(E,1)/r! |
Ω |
0.83470187200041 |
Real period |
R |
2.5814313065157 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999818895 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
106560dd1 26640bc1 11840be1 |
Quadratic twists by: -4 8 -3 |